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Finding the Fourth Proportional to 511,749.88, 766,363.34 and 321,738.86

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Solution

The fourth proportional to 511,749.88, 766,363.34 and 321,738.86 is: 481,815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,749.88 : 766,363.34 = 321,738.86 : x
  2. Step 2: Convert to fraction form
    511,749.88/766,363.34 = 321,738.86/x
  3. Step 3: Cross multiply
    511,749.88x = 766,363.34 × 321,738.86
  4. Step 4: Simplify right side
    511,749.88x = 246,568,870,077.65
  5. Step 5: Solve for x
    x = 246,568,870,077.65/511,749.88
  6. Step 6: Final answer
    x = 481,815.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.